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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 10.22 (page 1009)

Graph: $g (x) = {(\frac{1}{5})}^{x}$

Short Answer

Expert verified

The graph of ${(\frac{1}{5})}^{x}$ is :

Step by step solution

01

Step 1. Given

The function ${(\frac{1}{5})}^{x}$

To graph the given function.

02

Step 2. Find the points

Find the points of $g (x) = {(\frac{1}{5})}^{x}$

$x$	$g (x) = {(\frac{1}{5})}^{x}$	$(x, g (x))$
$- 2$	${(\frac{1}{5})}^{- 2} = 25$	$(- 2, 25)$
$- 1$	${(\frac{1}{5})}^{- 1} = 5$	$(- 1, 5)$
$0$	$(\frac{1}{5^{0}}) = 1$	$(0, 1)$
$1$	$\frac{1}{5^{1}} = \frac{1}{5}$	$(1, \frac{1}{5})$
$2$	${(\frac{1}{5})}^{2} = \frac{1}{25}$	$(2, \frac{1}{25})$

03

Step 3. Plot the points in the graph

Plot the ordered pairs in the graph.

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Most popular questions from this chapter

In the following exercises, solve each logarithmic equation.

$\log_{a} 16 = 2$

In the following exercises, solve each logarithmic equation, $\log_{a} 81 = 2$

In the following exercises, graph each exponential function.

$f (x) = {(1.5)}^{x}$

In the following exercises, find the inverse of each function.

$f (x) = 6 x - 7$

In the following exercises, solve each logarithmic equation $y = \log_{0.4} x$

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